5 papers
Homogeneity actions, N-manifolds, and the Frobenius theorem
Janusz Grabowski, Asier López-Gordón
This paper is devoted to -graded supermanifolds whose grading is induced by a homogeneity action, i.e., a smooth action of th…
A Darboux classification of homogeneous Pfaffian forms on graded manifolds
Janusz Grabowski, Asier López-Gordón
We study the local classification problem for differential Pfaffian forms on a supermanifold that are homogeneous with respect to a given homogeneity structure on . The most…
Egorov-Type Semiclassical Limits for Open Quantum Systems with a Bi-Lindblad Structure
Leonardo Colombo, Asier López-Gordón
This paper develops a bridge between bi-Hamiltonian structures of Poisson--Lie type, contact Hamiltonian dynamics, and the Gorini--Kossakowski--Sudarshan--Lindblad (GKSL) formalism…
Geometric integrators for adiabatically closed simple thermodynamic systems
Jaime Bajo, Manuel de León, Asier López-Gordón
A variational formulation for non-equilibrium thermodynamics was developed by Gay-Balmaz and Yoshimura. In a recent article, the first two authors of the present paper introduced p…
The geometry of dissipation
Asier López-Gordón
Dissipative phenomena manifest in multiple mechanical systems. In this dissertation, different geometric frameworks for modelling non-conservative dynamics are considered. The obje…